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2169994860 = 223551140591
BaseRepresentation
bin1000000101010111…
…0111111001101100
312121020020011100000
42001111313321230
513421004313420
6555154304300
7104526436425
oct20125677154
95536204300
102169994860
11a139a6290
12506888090
13287757237
141682aa64c
15ca791690
hex81577e6c

2169994860 has 144 divisors (see below), whose sum is σ = 7446845952. Its totient is φ = 526046400.

The previous prime is 2169994859. The next prime is 2169994873. The reversal of 2169994860 is 684999612.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2169994797 and 2169994806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33165 + ... + 73755.

It is an arithmetic number, because the mean of its divisors is an integer number (51714208).

Almost surely, 22169994860 is an apocalyptic number.

2169994860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2169994860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723422976).

2169994860 is an abundant number, since it is smaller than the sum of its proper divisors (5276851092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2169994860 is a wasteful number, since it uses less digits than its factorization.

2169994860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40626 (or 40612 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2169994860 is about 46583.2036253412. The cubic root of 2169994860 is about 1294.6515681807.

The spelling of 2169994860 in words is "two billion, one hundred sixty-nine million, nine hundred ninety-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 594 660 810 891 972 990 1188 1215 1485 1620 1782 1980 2430 2673 2970 3564 4455 4860 5346 5940 8910 10692 13365 17820 26730 40591 53460 81182 121773 162364 202955 243546 365319 405910 446501 487092 608865 730638 811820 893002 1095957 1217730 1339503 1461276 1786004 1826595 2191914 2232505 2435460 2679006 3287871 3653190 4018509 4383828 4465010 5358012 5479785 6575742 6697515 7306380 8037018 8930020 9863613 10959570 12055527 13151484 13395030 16074036 16439355 19727226 20092545 21919140 24111054 26790060 32878710 36166581 39454452 40185090 48222108 49318065 60277635 65757420 72333162 80370180 98636130 108499743 120555270 144666324 180832905 197272260 216999486 241110540 361665810 433998972 542498715 723331620 1084997430 2169994860